國立清華大學數學系
微分方程導論
Math 4280-00 (Spring 2011)  Introduction to Partial Differential Equations


Instructor: 陳國璋 Kuo-Chang Chen
Hours and days: W3W4F3
Classroom:
綜三 205
Teaching Assistant:
潘柏宇
Prerequisite:
高等微積分, 線性代數, 微分方程

Office: 綜三 609
Phone Number: (03) 5715131 Ext: 33067
Office Hours: T7T8, or by appointments
Email: kchen@math.nthu.edu.tw

 

Textbook

Walter Strauss: Partial Differential Equations, An Introduction, Second Edition, 2008

(First edition would be also fine!)

Course Description

This course is an introduction to the theory of partial differential equations intended for students majoring in mathematics. Our aim is to introduce basic concepts and techniques of partial differential equations. Throughout the course we will illustrate by some important mathematical models for problems from physics, such as wave propagation, diffusion, potential theory, heat transfer, etc. Students registering to this course should have some background knowledge on advanced calculus, linear algebra, and elementary differential equations.

 

Topics to be covered include:

1. Where PDEs come from

2. Waves and Diffusions

3. Reflections and Sources

4. Boundary Problems

5. Fourier Series

6. Harmonic Functions

7. Green's identity and Green's Functions

8. Computation of Solutions

 

Attendance

Students are expected to attend every scheduled class. It is the student's responsibility to keep informed of any announcements, syllabus adjustments or policy changes made during scheduled classes.
 

Grading

Quizzes/Homework (25%): Homework assignments will be posted on http://www.math.nthu.edu.tw/~kchen/teaching/4280S11HW.htm.
Homework assignments will be mostly selected from the textbook. Some of them will be collected and graded. Details are to be announced during the first week of classes.

Exams (75%): There will be three exams, each worth 25% of the course grade. Precise dates will be scheduled during the first week of classes.

 

Absence from exams

You should miss an exam only for the most compelling reasons and you should obtain permission in advance (except in some extraordinary circumstances). If you miss an exam for legitimate reasons, then it will be weighted to other exams. There will be no make-up exam.